a Hogan\'s Heroes soek1i x 16.3 Conservative Vector x c secure https/iwww webass

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a Hogan's Heroes soek1i x 16.3 Conservative Vector x c secure https/iwww webassignnet/web/student/Assignment-Res Responses/submit?dep 15552377 Tutorial O points Previous Answers RogacalcE13 163027. On the surface of the earth, the gravitational field (with zas vertical coordinate measured in meters) is F (0, g). Beginning at rest, a ball of mass m 2 kg moves under the influence of gravity (without friction) along a path from P 3, 2, 400) to Q (-21. 40, 50). Find the balrs velocity when it reaches Q. (Assume g 9.8 m/s2. Round your answer to one decimal places.) Submit Answer save Progress 01 points i Previous Answers RogacaloET3 16 3 02aa An electron at rest at P (5, 3, 7) moves along a path ending at Q (1, 1, 1) under the influence of the electric field (in newtons per coulomb)

Explanation / Answer

given F = -g k = -9.8 k

P = ( 3 , 2 , 400 ) = 3i + 2j + 400k

Q = (-21 , 40 , 50) = -21i + 40 j + 50 k

displacement r = Q - P = -24i + 38 j - 350 k

work = dot product of F and r = F.r

work = -9.8.(-24i + 38 j - 350 k)

work = +9.8*350 = 3430 J

from workl energy principle

work = change in KE

W = Kf - Ki

Ki = 0 (initially ball is at rest)

Kf = (1/2)*m*vf^2

(1/2)*2*vf^2= 3430

vf = 58.6 m/s <<<<-------answer

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